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Finding the Fourth Proportional to 12,812.88, 19,199.88 and 9,510.54

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Solution

The fourth proportional to 12,812.88, 19,199.88 and 9,510.54 is: 14,251.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,812.88 : 19,199.88 = 9,510.54 : x
  2. Step 2: Convert to fraction form
    12,812.88/19,199.88 = 9,510.54/x
  3. Step 3: Cross multiply
    12,812.88x = 19,199.88 × 9,510.54
  4. Step 4: Simplify right side
    12,812.88x = 182,601,226.74
  5. Step 5: Solve for x
    x = 182,601,226.74/12,812.88
  6. Step 6: Final answer
    x = 14,251.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.